Least Common Multiple of 404/15, 343/89, 856/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/15, 343/89, 856/511 quickly i.e. 29654408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/15, 343/89, 856/511 is 29654408.

LCM(404/15, 343/89, 856/511) = 29654408

LCM of 404/15, 343/89, 856/511

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 404/15,343/89,856/511

Given numbers are 404/15,343/89,856/511

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 404,343,856

Least Common Multiple of Numerators i.e. LCM of 404,343,856 is 29654408.

GCF of Denominators means GCF of 15,89,511 as per the given fractions.

GCF of 15,89,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,343,856

LCM of Fractions 404/15,343/89,856/511 is 29654408

2 404, 343, 856
2 202, 343, 428
101, 343, 214

∴ So the LCM of the given numbers is 2 x 2 x 101 x 343 x 214 = 29654408

Least Common Multiple of 404,343,856 with GCF Formula

Least Common Multiple of 404,343,856 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,343,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,343,856) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(404,343,856) x common factors =1 x 4 = 4

LCM(404,343,856) = ( 404 × 343 × 856 ) / 4

LCM(404,343,856) = 118617632 / 4

LCM(404,343,856) = 29654408


Lets's calculate GCF of 15,89,511

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29654408/1

Therefore the LCM of Fractions 404/15,343/89,856/511 is 29654408

Greatest Common Factor of 15,89,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,89,511 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 15,89,511 . The biggest common factor number is the GCF number.
So the greatest common factor 15,89,511 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 404/15, 343/89, 856/511

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 404/15, 343/89, 856/511?

Answer: LCM of Numerators as per given numbers 404/15, 343/89, 856/511 is

LCM of Numerators i.e. for 404,343,856 is 29654408

GCF of denominators i.e. for 15,89,511 is 1.

Thus, LCM of Fractions is 29654408.Finally, LCM of Fractions for 404/15, 343/89, 856/511 is 29654408.